diff --git a/ProjectEulerCS/ProblemSelection.cs b/ProjectEulerCS/ProblemSelection.cs index d2d84fc..3c07071 100644 --- a/ProjectEulerCS/ProblemSelection.cs +++ b/ProjectEulerCS/ProblemSelection.cs @@ -31,7 +31,7 @@ namespace ProjectEulerCS{ //Holds the valid problem numbers private static readonly List _PROBLEM_NUMBERS = new List() { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, - 10, 11}; + 10, 11, 12}; public static System.Collections.Generic.List PROBLEM_NUMBERS{ get { return _PROBLEM_NUMBERS; } } @@ -51,6 +51,7 @@ namespace ProjectEulerCS{ case 9: problem = new Problem9(); break; case 10: problem = new Problem10(); break; case 11: problem = new Problem11(); break; + case 12: problem = new Problem12(); break; } return problem; } diff --git a/ProjectEulerCS/Problems/Problem12.cs b/ProjectEulerCS/Problems/Problem12.cs new file mode 100644 index 0000000..50cf10d --- /dev/null +++ b/ProjectEulerCS/Problems/Problem12.cs @@ -0,0 +1,128 @@ +//ProjectEuler/ProjectEulerCS/src/Problems/Problem12.cs +//Matthew Ellison +// Created: 08-24-20 +//Modified: 08-24-20 +//What is the value of the first triangle number to have over five hundred divisors? +//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/CSClasses +/* + Copyright (C) 2020 Matthew Ellison + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU Lesser General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public License + along with this program. If not, see . +*/ + + +using System.Collections.Generic; + + +namespace ProjectEulerCS.Problems{ + public class Problem12 : Problem{ + //Variables + //Static variables + private const int GOAL_DIVISORS = 500; + + //Instance variables + private long sum; //The sum of the numbers up to counter + private long counter; //The next number to be added to sum + private List divisors; //Holds the divisors of the triangular number sum + public long TriangularNumber{ + get{ + if(!solved){ + throw new Unsolved(); + } + return sum; + } + } + public long LastNumberAdded{ + get{ + if(!solved){ + throw new Unsolved(); + } + return counter - 1; + } + } + public List DivisorsOfTriangularNumber{ + get{ + if(!solved){ + throw new Unsolved(); + } + return divisors; + } + } + public int NumberOfDivisors{ + get{ + if(!solved){ + throw new Unsolved(); + } + return divisors.Count; + } + } + + //Functions + //Constructor + public Problem12() : base("What is the value of the first triangle number to have over five hundred divisors?"){ + sum = 1; + counter = 2; + divisors = new List(); + } + //Operational functions + //Solve the problem + public override void solve(){ + //If the problem has already been solved do nothing and end the function + if(solved){ + return; + } + + //Setup the other variables + bool foundNumber = false; //To flag whether the number has been found + + //Start the timer + _timer.start(); + + //Loop until you fin the appropriate number + while((!foundNumber) && (sum > 0)){ + divisors = mee.Algorithms.getDivisors(sum); + //If the number of divisors is correct set the flag + if(divisors.Count > GOAL_DIVISORS){ + foundNumber = true; + } + //Otherwise add to the sum and increase the next number + else{ + sum += counter; + ++counter; + } + } + + //Stop the timer + _timer.stop(); + + //Throw a flag to show the problem is sovled + solved = true; + + //Save the results + _result = "The triangular number " + sum + " is the sum of all number >= " + (counter - 1) + " and has " + divisors.Count + " divisors"; + } + //Reset the problem so it can be run again + public override void reset(){ + base.reset(); + sum = 1; + counter = 2; + divisors.Clear(); + } + } +} + +/* Results: +The triangular number 76576500 is the sum of all number >= 12375 and has 576 divisors +It took an average of 270.496 milliseconds to run this problem through 100 iterations +*/